Which set is a subset of every set?

{}
{0}
{1}

The empty set  is a subset of any set.

Option 1 is correct.          

Step-by-step explanation:

we have to find the set which is a subset of every set.

Subset is a set of which all the elements are contained in another set. i.e

if every member of set A is contained in set B or every member of set A is also a member of set B, then A is the subset of B i.e A⊂B

{0}, {1}

The above sets which includes 0 and 1 is not necessary a member of every set. Therefore these are not correct.

The empty set is the unique set having zero elements i.e cardinality is 0

∴ we can say that all the elements of the empty set are elements of any other set. Therefore, the empty set is a subset of any set.

The empty set denoted by Ф or {} is a subset of any set.

Option 1 is correct.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!